Question

Find the range of the function y=1/2x+3 when the domain is (-2,0,2,4)

Answer 1

{2,3,4,5}

Explanation:

Domain is the set of x-values for which the function is defined.

Range is the set of y-values for which the function is defined (set of values corresponding to the set of x-values).

The function is given as
`y=(1)/(2)x+3`

The domain is (-2,0,2,4)

That means, we need to plug-in the 4 numbers given into x of the function and find the 4 corresponding y values (the range).

So, lets do this:

putting x = -2,

`y=(1)/(2)(-2)+3=2`

putting x = 0

y = 3

putting x = 2

`y=(1)/(2)(2)+3=4`

putting x= 4

`y=(1)/(2)(4)+3=5`

Thus, the range is {2,3,4,5}